It was shown (Faenov et al., 2015b) that the energy of femtosecond laser pulses with relativistic intensity approaching to ~10²¹ W/cm² is efficiently converted to X-ray radiation and produces exotic states in solid density plasma periphery. We propose and show by one-dimensional two-Temperature hydrodynamic modeling, that applying two such unique ultra-bright X-ray sources with intensities above 10¹⁷ W/cm²-allow to generate shock waves with strength of up to some hundreds Mbar, which could give new opportunities for studies of matter in extreme conditions.